Questiion 1
We started by thinking of possibilities to create the biggest rectangular area from 40m of fence. To start we used trial and improve to determine the largest area. Our first trial was 15x5 to get 75 which wasn't the largest possible area, second was 14x6 which equaled 84 but sill left room for modification, third was 13x7 to get 91, 12x8 equalled 96, 11x9 gave us 99, these further answers still weren't the biggest possible area. Finally 10x10 gave the final result of 100, because a square is a type of rectangle.
Question 2
To work out question 2 we had to divide the 40 fence pieces into 3 parts, two of which were equal because there was a wall on one side. To get a result trial and improve was used again in this question. The first two numbers multiplied to find an answer was 14 and 13 to find 182, second we tried 18x11 to get 198, this answer was also given from 22x9. Finally we calculated the result of 200 by multiplying 20x10.
Question 3
Question 3 was harder than the others because we now had to build around a wall to a point. Before calculating we divided the area into two squares an 8x10(already given) and the other regular rectangle that we would add to the 8x10. We tried to improve our answers after every calculation but not all were sucessful. First we used 10x10+8x10 to get 180, this however wasn't the largest area so we tried 16x7+8x10, this (and 14x8+10x8 which gave the same answer) ultimately gave us the largest area. Even though we calculated 198 we still tried to improve by trying 12x9+10x8 and 22x4+10x8 to get the results 188 and 168. In conclusion our final answer was 198.